5x-12=2x+24
-2x -2x
3x-12=24
+12 +12
3x=36
/3 /3
x=12
Answer: 6x
Work Shown:
For each step, the logs are all base b. This is to save time and hassle of writing tricky notation of having to write the smaller subscript 'b' multiple times. The first rule to use is that log(x^y) = y*log(x) for any base of a logarithm. The second rule is that 
meaning that the log base of itself is 1
log(b^(6x)) = 6x*log(b) .... pull down exponent using the first rule above
log(b^(6x)) = 6x*1 .... use the second rule mentioned
log(b^(6x)) = 6x
5 - 6 = -1
2 + 7 = 9
-1 × 9 = -9
-9 would be the simplified answer.
Hope this helps!
Answer:
The correct option is;
Up, rotate 90 degrees counterclockwise, down and right, rotate 90 derees clockwise, left
Step-by-step explanation:
The motion of the shape are
1) The shape is moved up from the initial position
2) The shape is then rotated 90 degrees in the reverse direction of the motion of the clock
3) The shape then moves two motion of coming down and moving right in one step
4) The shape is then rotated 90 degrees in the clockwise direction
5) In the final step, the shape is moved left.
